Advertisement

Flow of a viscoelastic fluid between eccentric cylinders

II. Fourth-order theory for longitudinal shearing flow
  • B. Y. Ballal
  • R. S. Rivlin

Abstract

In Part I (1), we have considered the flow of an incompressible isotropic viscoelastic fluid in the annular region between two eccentric circular cylinders with parallel axes, produced by the motion of the inner cylinder, parallel to its axis, with constant velocity. It was assumed that the flow is sufficiently slow so that the second-order Rivlin-Ericksen constitutive equation is applicable. In the present paper, the same problem is considered. However, we now assume that the fourth-order Rivlin-Ericksen constitutive equation is valid.

Keywords

Constitutive Equation Resultant Force Viscoelastic Fluid Outer Cylinder Transverse Force 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1).
    Rallal, B. Y. and R. S. Rivlin, Rheol. Acta 14, 484 (1975).CrossRefGoogle Scholar
  2. 2).
    Jones, J. R., Z. Angew. Math. Phys. 15. 329 (1964).Google Scholar
  3. 3).
    Jones, J. R. and R. S. Jones, J. de Mécanique 5, 375 (1966).Google Scholar
  4. 4).
    Green, A. E. and R. S. Rivlin, Q. Appl. Math. 14, 299 (1956).Google Scholar
  5. 5).
    Oldroyd, J. G., Proc. Roy. Soc. A 200. 523 (1950).CrossRefGoogle Scholar
  6. 6).
    Lanylois, W. E. and R. S. Rivlin: Rendiconti di Matematica 22, 169 (1963).Google Scholar

Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • B. Y. Ballal
    • 1
  • R. S. Rivlin
    • 1
  1. 1.Center for the Application of MathematicsLehigh UniversityBethlehemUSA

Personalised recommendations